71847309600864 has 72 divisors (see below), whose sum is σ = 233503756209360. Its totient is φ = 20527802742528.

The previous prime is 71847309600863. The next prime is 71847309600893. The reversal of 71847309600864 is 46800690374817.

71847309600864 is a `hidden beast` number, since 7 + 18 + 4 + 7 + 3 + 0 + 9 + 600 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71847309600863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17819271199 + ... + 17819275230.

It is an arithmetic number, because the mean of its divisors is an integer number (3243107725130).

Almost surely, 2^{71847309600864} is an apocalyptic number.

It is an amenable number.

71847309600864 is an abundant number, since it is smaller than the sum of its proper divisors (161656446608496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71847309600864 is a wasteful number, since it uses less digits than its factorization.

71847309600864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35638546452 (or 35638546441 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 71847309600864 in words is "seventy-one trillion, eight hundred forty-seven billion, three hundred nine million, six hundred thousand, eight hundred sixty-four".